1966953765120 has 288 divisors, whose sum is σ = 6318040563072. Its totient is φ = 521514909696.

The previous prime is 1966953765097. The next prime is 1966953765181. The reversal of 1966953765120 is 215673596691.

It is a super-2 number, since 2×1966953765120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266550264 + ... + 1266551816.

It is an arithmetic number, because the mean of its divisors is an integer number (21937640844).

Almost surely, 2^{1966953765120} is an apocalyptic number.

1966953765120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966953765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159020281536).

1966953765120 is an abundant number, since it is smaller than the sum of its proper divisors (4351086797952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1966953765120 is a wasteful number, since it uses less digits than its factorization.

1966953765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 60.

The spelling of 1966953765120 in words is "one trillion, nine hundred sixty-six billion, nine hundred fifty-three million, seven hundred sixty-five thousand, one hundred twenty".